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Simplifying -22 = 2(v + -5) + 2v Reorder the terms: -22 = 2(-5 + v) + 2v -22 = (-5 * 2 + v * 2) + 2v -22 = (-10 + 2v) + 2v Combine like terms: 2v + 2v = 4v -22 = -10 + 4v Solving -22 = -10 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -22 + -4v = -10 + 4v + -4v Combine like terms: 4v + -4v = 0 -22 + -4v = -10 + 0 -22 + -4v = -10 Add '22' to each side of the equation. -22 + 22 + -4v = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -4v = -10 + 22 -4v = -10 + 22 Combine like terms: -10 + 22 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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